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Proof step 11 from proof fsync-keep-abs (previous step)

files[m] = mkfile(m0, md0, # links(m, dirs), content), err = ESUCCESS, files0 = (files ⊕ pcache) ⊕ icache, afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ files ⊦ [cache_fsync-pages#(mkinode(m, md, false, # links(m, dirs), 0, m2), dirs; err, files, pcache, asynced); inode := mkinode(m, md, false, # links(m, dirs), 0, m2); if err = ESUCCESS ∧ ¬ asynced1 then cache_fsync-inode#(; inode, err, dirs, files, icache, asynced); if err = ESUCCESS then afs_fsync#(inode, asynced1, dirs, files; ; asynced, err)] (files0 = (files ⊕ pcache) ⊕ icache)

User applied rule insert program lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: fsync-pages-keep-abs seq: files0 = (files ⊕ pcache) ⊕ icache, pcache-cons(pcache, dirs, files) ⊦ [cache_fsync-pages# (inode, dirs; err, files, pcache, asynced)] (files0 = (files ⊕ pcache) ⊕ icache) subst: [dirs, inode, asynced, pcache, files, err, files0, icache] → [dirs, mkinode(m, md, false, # links(m, dirs), 0, m2), asynced, pcache, files, err, files0, icache] flags: List([[1,0,0]])

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